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What is the unit of resolving power?

Important Questions on Wave Optics

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A long narrow slit is illuminated by blue light and the diffraction pattern is obtained on a white screen.

What do you mean by limit of resolution of an optical instrument ?

HARD
State the factors on which resolving power of microscope depends. How can it be increased?
EASY
The sound signal produced by a tunning fork is:
HARD
Assuming that the human pupil has a radius of 0.25 cm and a comfortable viewing distance of 25 cm. The minimum separation between two point objects that the human eye can resolve for the light of wavelength 500 nm is
EASY
The speed of electrons in a scanning electron microscope is 1×107 ms-1. If the protons having the same speed are used instead of electrons, then the resolving power of scanning proton microscope will be changed by a factor of:
MEDIUM
The human eye works like a convex lens with an aperture of 5 mm. Two bright spots of lightλ=5000 A0 are 1 mm apart. The maximum distance from the eye at which the two spots may appear well resolved is approximately
EASY
Assume that light of wavelength 600nm is coming from a star. What is the limit of angular resolution in radians of a telescope whose objective has a radius 200 cm?
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Diameter of the objective lens of a telescope is 250 cm. For light of wavelength 600 nm coming from a distant object, the limit of resolution of the telescope is close to:
HARD

How do you determine the resolving power of your eye?

EASY
On decreasing the wavelength of incident light from 8000 A to 4000 A, the intensity of the scattered light in Rayleigh scattering will become how many times the initial scattered intensity?
EASY
The ratio of resolving powers of an optical microscope for two wavelengths λ1=4000  and λ2=6000 Å is
EASY
Two poles are separated by a distance of 3.14 m The resolving power of human eye is 1minute of an arc. The maximum distance from which he can identify the two poles distinctly is
HARD
Two stars are 10 light years away from the earth. They are seen through a telescope of objective diameter 30 cm. The wavelength of light is 600nm. To see the stars just resolved by the telescope, the minimum distance between them should be 1 light year=9.46×1015m of the order of :
MEDIUM
A compound microscope is designed to resolve objects which are 0.01 mm apart. If the focal length of the objective is 4 cm and the wavelength of the light used is 550 nm, then, the diameter of the objective is
EASY
Calculate the limit of resolution of a telescope objective having a diameter of 200 cm , if it has to detect light of wavelength 500 nm coming from a star.
MEDIUM
Assume that light of wavelength 600 nm is coming from a star. The limit of resolution of telescope whose objective has a diameter of 2 m is:
EASY
The value of numerical aperture of the objective lens of a microscope is 1.25. If light of wavelength 5000 A is used, the minimum separation between two points, to be seen as distinct, will be:
HARD
An LED display consists of 100 pixels per cm2. Consider that the diameter of the pupil of the eye is 5 mm and the average wavelength of the display is 575 nm. What is the nearest distance from the display one can be at, such that the display does not appear pixelated?
EASY

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A : An electron microscope can achieve better resolving power than an optical microscope.

Reason R : The de Broglie's wavelength of the electrons emitted from an electron gun is much less than wavelength of visible light.

In the light of the above statements, choose the correct answer from the options given below:

MEDIUM
The aperture diameter of a telescope is 5 m . The separation between the moon and the earth is 4×105 km . With light of wavelength of 5893 Å , the minimum separation between objects on the surface of moon, so that they are just resolved, is close to: